数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2006年
2期
229-235
,共7页
global attractor%fourth-order equations%whole line
This paper studies the long time behavior of the following Cauchy problem (з)u/(з)t+σ(з)4u/(з)x4+тu+u(з)u/(з)x=f,x ∈R, t>0,u(x, 0) = u0(x).The authors prove the existence of global attractor by showing the corresponding operator semigroup is asymptotically compact.